Carter and his cousin are playing a game where they pick up colored sticks. Carter
currently has 24 points and likes to pick up the purple sticks, earning 9 points every
turn. His cousin just lost all his points on the previous turn, and has a strategy to
catch up by getting all the pink ones, earning 17 points per turn. In a certain
number of turns, the score will be tied. How many points will they each have? How
long will that take?
